6533b851fe1ef96bd12a9918

RESEARCH PRODUCT

Generalization of the model-independent Laurent–Pietarinen single-channel pole-extraction formalism to multiple channels

Alfred ŠVarcH. OsmanovićLothar TiatorRon L. WorkmanM. HadžimehmedovićJ. Stahov

subject

Nuclear and High Energy PhysicsNuclear TheoryPartial wave analysisFOS: Physical sciencesConformal map01 natural sciencesNuclear Theory (nucl-th)Quantum mechanics0103 physical sciencesNuclear Experiment (nucl-ex)010306 general physicsNuclear ExperimentNuclear theoryPhysicsModel independent extractionUnitarity010308 nuclear & particles physicsMathematical analysisPartial wave analysisPartial wave analysis ; pole parameters ; model independent extractionlcsh:QC1-999Formalism (philosophy of mathematics)Amplitudelcsh:PhysicsPole parametersCommunication channel

description

A method to extract resonance pole information from single-channel partial-wave amplitudes based on a Laurent (Mittag-Leffler) expansion and conformal mapping techniques has recently been developed. This method has been applied to a number of reactions and provides a model-independent extraction procedure which is particularly useful in cases where a set of amplitudes is available only at discrete energies. This method has been generalized and applied to the case of a multi-channel fit, where several sets of amplitudes are analyzed simultaneously. The importance of unitarity constraints is discussed. The final result provides a powerful, model-independent tool for analyzing partial-wave amplitudes of coupled or connected channels based entirely on the concepts of analyticity and unitarity. Keywords: Partial wave analysis, Pole parameters, Model independent extraction

10.1016/j.physletb.2016.02.058http://www.sciencedirect.com/science/article/pii/S0370269316001544